Synchronization of unidirectional coupled chaotic systems via partial stability

被引:68
作者
Ge, ZM [1 ]
Chen, YS [1 ]
机构
[1] Natl Chiao Tung Univ, Dept Engn Mech, Hsinchu 30050, Taiwan
关键词
D O I
10.1016/j.chaos.2003.10.004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Chaos synchronization can be achieved by several methods but there is no easy unified criterion in general. In this paper, a general scheme is proposed to achieve chaos synchronization via stability with respect to partial variables. Three theorems for synchronization of unidirectional coupled non-autonomous (also autonomous) systems by linear feedback are developed for systems with and without system structure perturbations. The system, fly-ball governor, is demonstrated as an example. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码:101 / 111
页数:11
相关论文
共 57 条
[1]   Generalized synchronization of chaos: The auxiliary system approach [J].
Abarbanel, HDI ;
Rulkov, NF ;
Sushchik, MM .
PHYSICAL REVIEW E, 1996, 53 (05) :4528-4535
[2]  
Afraimovich V. S., 1986, Radiophysics and Quantum Electronics, V29, P795, DOI 10.1007/BF01034476
[3]   SYNCHRONIZING NONAUTONOMOUS CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 1993, 40 (10) :646-650
[4]   SYNCHRONIZING CHAOTIC CIRCUITS [J].
CARROLL, TL ;
PECORA, LM .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (04) :453-456
[5]   CASCADING SYNCHRONIZED CHAOTIC SYSTEMS [J].
CARROLL, TL ;
PECORA, LM .
PHYSICA D, 1993, 67 (1-3) :126-140
[6]   Controlling and synchronizing chaotic Genesio system via nonlinear feedback control [J].
Chen, MY ;
Han, ZZ .
CHAOS SOLITONS & FRACTALS, 2003, 17 (04) :709-716
[7]   Synchronization of an uncertain unified chaotic system via adaptive control [J].
Chen, SH ;
Lü, JH .
CHAOS SOLITONS & FRACTALS, 2002, 14 (04) :643-647
[8]   Synchronization of spatiotemporal nonlinear dynamical systems by an active control [J].
Codreanu, S .
CHAOS SOLITONS & FRACTALS, 2003, 15 (03) :507-510
[9]   SYNTHESIZING SELF-SYNCHRONIZING CHAOTIC SYSTEMS [J].
Cuomo, Kevin M. .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (05) :1327-1337
[10]   CIRCUIT IMPLEMENTATION OF SYNCHRONIZED CHAOS WITH APPLICATIONS TO COMMUNICATIONS [J].
CUOMO, KM ;
OPPENHEIM, AV .
PHYSICAL REVIEW LETTERS, 1993, 71 (01) :65-68